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Finding the Fourth Proportional to 20,622, 30,937.56 and 8,775.15

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Solution

The fourth proportional to 20,622, 30,937.56 and 8,775.15 is: 13,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,622 : 30,937.56 = 8,775.15 : x
  2. Step 2: Convert to fraction form
    20,622/30,937.56 = 8,775.15/x
  3. Step 3: Cross multiply
    20,622x = 30,937.56 × 8,775.15
  4. Step 4: Simplify right side
    20,622x = 271,481,729.63
  5. Step 5: Solve for x
    x = 271,481,729.63/20,622
  6. Step 6: Final answer
    x = 13,164.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.